Group-Theoretical Consideration of Landau Level Broadening in Crystals
Group-Theoretical Consideration of Landau Level Broadening in Crystals
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晶体中朗道能级展宽的群论考虑
DOI：
10.1103/physrev.136.a776
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发表时间：
1964
期刊：
影响因子：
--
通讯作者：
J. Zak
中科院分区：
文献类型：
--
作者：
J. Zak
给出了磁场中布洛赫电子能级的群论分类。利用磁场中自由电子的磁平移群是对称群的一个子群这一事实，证明了晶体中朗道能级的展宽是由于对称性考虑而产生的一个普遍特征。导出了三次对称情况下展宽的显式公式。
A group-theoretical classification of the energy levels for a Bloch electron in a magnetic field is given. The fact is used that the magnetic translation group is a subgroup of the symmetry group for a free electron in a magnetic field, and it is shown that the broadening of the Landau levels in crystals is a general feature that follows from symmetry considerations. An explicit formula for the broadening in the case of cubic symmetry has been derived.